2(4z-2)=-9(5-z)

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Solution for 2(4z-2)=-9(5-z) equation:


Simplifying
2(4z + -2) = -9(5 + -1z)

Reorder the terms:
2(-2 + 4z) = -9(5 + -1z)
(-2 * 2 + 4z * 2) = -9(5 + -1z)
(-4 + 8z) = -9(5 + -1z)
-4 + 8z = (5 * -9 + -1z * -9)
-4 + 8z = (-45 + 9z)

Solving
-4 + 8z = -45 + 9z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-9z' to each side of the equation.
-4 + 8z + -9z = -45 + 9z + -9z

Combine like terms: 8z + -9z = -1z
-4 + -1z = -45 + 9z + -9z

Combine like terms: 9z + -9z = 0
-4 + -1z = -45 + 0
-4 + -1z = -45

Add '4' to each side of the equation.
-4 + 4 + -1z = -45 + 4

Combine like terms: -4 + 4 = 0
0 + -1z = -45 + 4
-1z = -45 + 4

Combine like terms: -45 + 4 = -41
-1z = -41

Divide each side by '-1'.
z = 41

Simplifying
z = 41

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